Combining Texts

All the ideas for 'The Philosophy of Logic', 'Foundations of Two-Dimensional Semantics' and 'On the Algebra of Logic'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
Very large sets should be studied in an 'if-then' spirit [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]
We must quantify over numbers for science; but that commits us to their existence [Putnam]
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
Truth-functional conditionals have a simple falsification, when A is true and B is false [Peirce]
19. Language / C. Assigning Meanings / 10. Two-Dimensional Semantics
'Water' is two-dimensionally inconstant, with different intensions in different worlds [Chalmers, by Sider]